Answer:
Let x = number of dimes
y = number of quarters
Equation 1 is then x + y = 100, that one is easy.
Now you have to worry about values of each, and since a dime is $0.10 and a quarter is $0.25, that means that the number of each times their respective dollar amounts has to add up to the total dollar amount.
Equation 2 is then 0.1x + 0.25y = 14.05
To rewrite for clarity you have:
x + y = 100 (1)
0.1x + 0.25y = 14.05 (2)
Now you can solve this any number of ways, I'm going to use addition by multiplying both sides of equation 1 by -1/10 and then adding it to equation 2.
-0.1x - 0.1y = -10
0.1x + 0.25y = 14.05
0.15y = 4.05
don't let the decimals trip you up, that's the same as
15y = 405
y = 27 quarters
Now use that value in the original equation 1 to get
x = 100 - 27 = 73 dimes
To check use the values in the equation 2
$0.1*(73) + $0.25*(27) = $14.05
$7.30 + $6.75 = $14.05
solve each problem:
given: mfind: ak, al, kl
(3x +20)
Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°)
Help pls
Answer:
x = 20°
Step-by-step explanation:
The angle opposite to 3x + 20 is also 3x + 20 (opposite interior angles)
The angle opposite to 5x is also 5x (opposite interior angles)
Solve:
Set up the equation by adding all the angles. The sum of these angles should equal 360.
(3x + 20) + (3x + 20) + (5x) + (5x) = 36016x + 40 = 36016x = 320x = 20x = 20°
-Chetan K
SOLVE THIS PROBLEM ASAP
Answer:
2.5
Step-by-step explanation:
Start by plugging in the given values into the equation:
v=u+at
v=3+(-2)(1/4)
Now we simplify and solve
v=3-1/2
v=2 1/2
v=2.5
CAN SOMEONE HELP ASAP ⚠️I WILL LITERALLY GIVE YOU ANY POINTS THANK YOU ITS DUE TOMORROW I WILL MARK YOU AS BRAINLIEST PIC BELOW COULD YOU EXPLAIN IT SO I KNOW WHAT DO ON THE OTHER QUESTIONS THANKS
Answer:
Area = 28 cm²
Step-by-step explanation:
The formula for trapezoids is (a + b)/2 · h
In this case, a = 6
b = 8
h = 4
Plug in the numbers into the formula.
A = (a + b)/2 · h
A = (6 + 8)/2 · 4
A = (14/2) · 4
A = 7 · 4
A = 28
**Another trapezoid formula you might know it by is also..
A = 1/2(b₁ + b₂)h
I suggest memorizing the formula. If you know the formula, you'll be set! All you will do is plug in the numbers. I'm not sure if this will help, but b₁ (or a) is the top measurement. In this case, it's 6 cm. And the b₂ (or b) is the bottom measurement, which is 8 cm in this case. The h or height is obviously 4 cm in this example.
help please and add an explanation thank youuu
I WILL GIVE BRAINLES PLS ASAP Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for extraneous solutions.
No solution
x = 0 and x = −2
x = −2; x = 0 is an extraneous solution
x = 0; x = −2 is an extraneous solution
Answer:
D) x = 0; x = −2 is an extraneous solutionStep-by-step explanation:
Given equation:
x / 2 = x² /(x - 2)We can see x = 0 is the solution as it makes both sides equal.
We have a fraction with the denominator of x - 2.
It can't equal to zero since we can't divide by zero:
x - 2 = 0x = 2 is an extraneous solutionCorrect choice is D
Can you solve this? The subject is about solving equations using addition and subtraction.
Answer:
$5.25
Step-by-step explanation:
add all the prices up and subtract it from $15
bumper cars : 1.75
giant slide : 1.75 - .50 = 1.25
ferris wheel : 1.25 + 1.50 = 2.75
roller coaster : 2.75 + 1.25 = 4.00
1.75 + 1.25 + 2.75 + 4.00 = 9.75
15 - 9.75 = 5.25
what will be the nearest integer to
77.386
The nearest integer to 77.386 is 77
Hope this answer helps you
Answer:
THE NEAREST INTEGER TO 77.386 IS 77
Step-by-step explanation:
HOPE THIS HELPS
3x - 8 - x greater than or equal to 2
Answer:
x ≤ 5
Step-by-step explanation:
3x - 8 - x ≤ 2 , that is
2x - 8 ≤ 2 ( add 8 to both sides )
2x ≤ 10 ( divide both sides by 2 )
x ≤ 5
Find the value of each variable in the parallelogram.
Step-by-step explanation:
diagonals bisect
5u-10= 2u+2
3u = 12
u=4
v/3 = 6
v=18
Which ratio is equal to 10:5?
Answer:
2:1
Step-by-step explanation:
What is the domain of the relation?
Answer:
-4 ≤ x ≤ 6
Step-by-step explanation:
left-most point is at (-4,-4) and right-most point is at (6,4)
domain is only concerned with the x-values
so the domain is between -4 and 6, inclusive
You can ride your bike around your block 6 times and the whole neighborhood 5 times in 16 minutes. You can ride your bike around your block 3 times and the whole neighborhood 10 times in 23 minutes. How long does it take you to ride around the neighborhood?
please help ASAP i really need help
write a system of linear inequalities represented by the graph.
Answer:
Inequality 1: y ≤ 5x + 1 Inequality 2: y > x -2
Explanation:
the first line is intersecting the y-axis at 1
coordinates = ( 0 , 1 ) , ( -1 , -4 )
slope of the first line = (y2-y1)/(x2-x1)
= (-4-1 )/(-1-0)
= -5/-1
= 5
so equation: y = mx + b ....where m is the slope and b is y-intercept.
→ y ≤ 5x + 1 .........as equals to and greater than
the second line is intersecting the y axis at -2
coordinates = ( 2 , 0 ) , ( 0 , -2 )
slope of second line = (y2-y1)/(x2-x1)
= (-2-0)/(0-2)
= 1
so equation: y = mx + b ....where m is the slope and b is y-intercept.
→ y > x -2 ..........as dotted represents not equals to.
Evaluating Expressions
Answer: 13. -12 , 14. 40 , 15. 16 , 16. 4.5
Step-by-step explanation:
The City Basketball League includes high schools from within the city limits. The table shows the number of players of two different heights who play different positions.
Guard Forward Center Totals
Over 6 feet 25 30 30 85
Under 6 feet 130 120 35 285
Totals 155 150 65 370
Enter your answers as simplified fractions.
A. Russell is 5'9". What is the probability he is a forward?
B. Peter is 6'2". What is the probability he is a guard?
Answer:
A. Probability of Russell = 12/37 or 32.4% (Rounding to the next tenth)
B. Probability of Peter = 5/74 or 6.8% (Rounding to the next tenth)
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Guard Forward Center Totals
Over 6 feet 25 30 30 85
Under 6 feet 130 120 35 285
Totals 155 150 65 370
2. Russell is 5'9". What is the probability he is a forward?
Probability = Number of forwards under 6 feet/Total number of players
Probability = 120/370
Probability = 12/37 or 32.4% (Rounding to the next tenth)
3. Peter is 6'2". What is the probability he is a guard?
Probability = Number of guards over 6 feet/Total number of players
Probability = 25/370
Probability = 5/74 or 6.8% (Rounding to the next tenth)
Hope this helps you!!!!! :D
F(x) = 8x2 – 2x 3 g(x) = 12x2 4x – 3 What is h(x) = f(x) – g(x)? h(x) = 20x2 2x h(x) = –4x2 – 6x h(x) = –4x2 – 6x 6 h(x) = –4x2 2x.
To add or subtract the two quadratic or polynomial equation, add or subtract the same power variables from each other.
The result of the difference of the given quadratic equation is,
[tex]h(x)=-4x^2-6x+6\\[/tex]
Hence option 3 is the correct option.
What is quadratic equation?A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here, [tex]a,b,c[/tex] is the real numbers and [tex]x[/tex] is the variable.
To add or subtract the two quadratic or polynomial equation, add or subtract the same power variables from each other.
Given information-
The given quadratic equations are,
[tex]f(x)=8x^2-2x+3[/tex]
[tex]g(x)=12x^2+4x-3[/tex]
The function [tex]h(x)[/tex] is the difference of the two given functions. Thus,
[tex]h(x)=f(x)-g(x)[/tex]
Put the values,
[tex]h(x)=(8x^2-2x+3)-(12x^2+4x-3)[/tex]
Open the brackets by multiplying with sign as,
[tex]h(x)=8x^2-2x+3-12x^2-4x+3[/tex]
Separate the terms with same power of variable as,
[tex]h(x)=8x^2-12x^2-2x-4x+3+3\\[/tex]
To add or subtract the two quadratic or polynomial equation, add or subtract the same power variables from each other.Thus,
[tex]h(x)=-4x^2-6x+6\\[/tex]
Thus the result of the difference of the given quadratic equation is,
[tex]h(x)=-4x^2-6x+6\\[/tex]
Hence option 3 is the correct option.
Learn more about the quadratic equation here;
https://brainly.com/question/1214333
Answer:
c
Step-by-step explanation:
magic
What are the smallest and greatest factors of 340?
Answer:
All Factors of 340: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170 and 340.
Prime Factors of 340: 2, 5, 17.
Prime Factorization of 340: 22 × 51 × 171
Sum of Factors of 340: 756.
Step-by-step explanation:
Which equation would best help solve the following problem? Hideki throws a baseball ball upward with an initial velocity of 12 m/s. When he throws the ball, it is 2 m above the ground. How long will it take the ball to hit the ground? - 16t2 + 12+ + 2 = 0 -4.91? + 12+ + 2 = 0 2 -4.912 + 12t = 2 0 4.912 + 12t +2 = 0
For this case we have the following kinematic equation that models the problem:
h (t) = (1/2) * (- 9.8) * t ^ 2 + 12 * t + 2
Rewriting we have:
h (t) = -4.9 * t ^ 2 + 12 * t + 2
When the ball hits the ground we have:
-4.9 * t ^ 2 + 12 * t + 2 = 0
Solving the polynomial we have:
t1 = -0.16
t2 = 2.61
We ignore the negative root because it is time.
Answer: It will take the ball to hit the ground about:
t = 2.61 sec
can i please get help? they’re asking what is the slope of the line
In the figure shown, what is the measure of the indicated angle? °
help me please ... :))
Answer:
See attached graphic
Step-by-step explanation:
Explained in attachment.
All the students at the birthday party came with
presents. 1/4 of the students brought balloons,
1/8 of the students brought gift cards, and the
rest brought a wrapped gift. What fraction of
the students brought a wrapped gift?
Find the area and the circumference of a circle with radius 2ft .
Use the value 3.14 for , and do not round your answers. Be sure to include the correct units in your answers.
Answer:
Area & Circumference = 12.56ft
Step-by-step explanation:
The formula for area of a circle is πr^2
r = 2
π = 3.14
(3.14) x (2^2)
(3.14) x (4) = 12.56
The formula for circumference of a circle is 2πr
r = 2
π = 3.14
2 x (3.14) x 2
(3.14) x (4) = 12.56
Can someone please help me with geometry? Thank you.
Answer:
X=10
Step-by-step explanation:
explanation is in the image above
hope this helps please mark me brainiest
The answer I need a lot of helpppppppp
Answer:
h = d/60 - 1/3 = d-20/60
Step-by-step explanation
To simply put it let's say if you are able to make this trip by car without stopping. Nonstop drive: 501 miles or 806 km Driving time: 7 hours, 42 minutes.
If t(n) = 15 - 2.5n, how do I find t1,t2,t3,and tn+1? I also have to express tn+1-tn in its simplest form.
Answer:
Just substitute, and the simplified form is 1
Step-by-step explanation:
Substitute the values needed into the original equation. For example, if n=1
t(1)=15-2.5(1)=15-2.5=12.5. Or, if tn+1 substitute f(tn+1)=15-2.5(tn+1) and simplify.
tn+1-tn in its simplest form is just 1, as tn and -tn cancel out to leave 1.
Need it now! Correct answer step by step gets brainliest!
In the given figure, ray AZ bisects ∠BAD and ∠DCB. Prove the following and state reasons:
(a) ΔBAC is congruent to ΔDAC.
(b) AB=AD
(c) CD=CB
Answer:
a.)In ∆BAC AND ∆DAC
ANGLE DAC = ANGLE BAC(GIVEN)
ANGLE DCA = ANGLE BCA (Given)
AD IS A COMMON SIDE
SO, ∆BAC congruence ∆DAC (A.S.A)
b.)Yes AB=AD (C.P.C.T.)
c.)Yes CD=CB(C.P.C.T.)
Hope that helps
ray is constructing a flower bed for the zoo and wants to know if he has enough edging. A sketch of flowerben is shown below. What is the perimeter of the triangle? round to the nearest whole number
The perimeter of the triangle will be 41ft
The perimeter of a triangleThe perimeter of a triangle is the sum of all the sides of the triangle
From the given triangle, we need to get the third sidee firse as shown:
h² = 12² + 12²
h² = 144 + 144
h² = 288
h = 17ft
Perimeter = 12 + 12 + 17
Perimeter = 41ft
Hence the perimeter of the triangle will be 41ft
Learn more on perimeter of triangle here: https://brainly.com/question/24382052
Answer: 41 ft
Step-by-step explanation:
